A method of capturing acid compounds contained in a gas, wherein the following stages are carried out: a) contacting (R1) gas (2) with a liquid solution (9) comprising a mixture of an aqueous phase and of a non-water miscible phase so as to produce a solution (3) comprising acid compound hydrates and an acid compound depleted gas (10), b) dividing (B1) the solution comprising acid compound hydrates into a hydrate-rich fraction and a fraction rich in non-water miscible phase, c) separating (B1) hydrate-rich fraction (4) from fraction (5) rich in non-water miscible phase, d) heating (R2) the hydrate-rich fraction so as to release gaseous acid compounds (6) by dissociating the hydrates and to produce a water-rich fraction (8), e) mixing (B2) the fraction rich in non-water miscible phase obtained in stage c) with the water-rich fraction produced in stage d) so as to produce the liquid solution used in stage a).